Find the Surface Area of the Surface S $S$ Is the Cap Cut from the Sphere

question 145

Multiple Choice

Find the surface area of the surface S.
- $S$ is the cap cut from the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ by the cone $z = 6 \sqrt { x ^ { 2 } + y ^ { 2 } }$ .

• A) \(16 \left( 1 - \frac { 6 \sqrt { 37 } } { 37 } \right)\)
• B) \(16 \left( 1 - \frac { 6 \sqrt { 37 } } { 37 } \right) \pi\)
• C) \(32 \left( 1 - \frac { 6 \sqrt { 37 } } { 37 } \right) \pi\)
• D) \(16 \left( \frac { 6 \sqrt { 37 } } { 37 } - 1 \right) \pi\)

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